102022221121200 has 720 divisors, whose sum is σ = 383181388589376. Its totient is φ = 25068966912000.

The previous prime is 102022221121187. The next prime is 102022221121229. The reversal of 102022221121200 is 2121122220201.

It is a happy number.

102022221121200 is a `hidden beast` number, since 1 + 0 + 20 + 222 + 211 + 212 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 309258742 + ... + 309588458.

Almost surely, 2^{102022221121200} is an apocalyptic number.

102022221121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022221121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191590694294688).

102022221121200 is an abundant number, since it is smaller than the sum of its proper divisors (281159167468176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022221121200 is a wasteful number, since it uses less digits than its factorization.

102022221121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329902 (or 329888 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022221121200 its reverse (2121122220201), we get a palindrome (104143343341401).

The spelling of 102022221121200 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".